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WorksheetsFunction & Relation Mastery
Total questions: 23
Worksheet time: 30mins
Evaluate the function f(x) = 2x - 3 at x = 5.
7
8
10
12
Determine the domain of the function g(x) = sqrt(x + 1).
x >= -1
x = 0
x > -1
x < -1
Perform the operation (f + g)(x) where f(x) = x^2 and g(x) = 2x.
x^2 + x
x^2 + 2x
x^2 - 2x
2x^2
Identify where the function k(x) = 1/x is undefined.
k(x) is undefined when x = 0.
k(x) is undefined when x = 2
k(x) is undefined when x = -1
k(x) is undefined when x = 1
Calculate f(3) for the function f(x) = 4x^2 - 5x + 1.
22
10
15
30
What is the domain of the function p(x) = 2x + 1?
(-∞, +∞)
[0, +∞)
(-∞, 0]
[1, +∞)
Find (g - h)(x) for g(x) = 3x and h(x) = x^2.
3x + x^2
3x * x^2
3x / x^2
3x - x^2
Where is the function r(x) = sqrt(x - 2) undefined?
x < 0
x < 2
x > 2
x = 2
Evaluate the function s(x) = 2x^3 - 5x^2 + 3 at x = -2.
-25
-33
-10
-18
What is the domain of the function t(x) = sqrt(4x - 1)?
x > 1/4
x = 1/4
x <= 1/4
x >= 1/4
Determine the range of the function u(x) = 2x^2 - 4x + 1.
(-∞, -1)
(-1, ∞)
(0, ∞)
(-1, 1)
Calculate (p + q)(x) for p(x) = x^2 and q(x) = 3x.
4x^2 + 3x
x^3 + 3x^2
3x^3 + x^2
3x^2 + x^3
Identify where the function v(x) = 1/(x - 3) is undefined.
x = -3
x = 0
x = 1
x = 3
Find f(-1) for the function f(x) = x^3 - 2x^2 + x - 1.
-3
0
2
-5
6 - 2 • 2 + 2⁵
40
34
18
12
What values of x will make the expression undefined X/x² + x - 6?
6
-2
-2 and 3
2 and -3
(x²y -3y² + 5xy²) - (-x²y + 3xy² - 3y²)
4x²y²
8xy² - 6y²
2x²y + 2xy²
2x²y + 8xy² - 6y²
Solve x: 3(x + 1) = -6
-2
-3
1
7/3
Evaluate: 3x - y/6z -x if x = 2, y = 8, z = -2
1/7
-1/7
1/5
-1/5
Simplify: 2a +3b + 5a - 7b
7a - 4b
7a + 4b
3ab
7a - 10b
Expand: (2x - 3)²
4x² - 9
4x² + 9
2x² -12x + 9
4x² - 12x + 9
